tionship between x and y.

Q: cit differentiation. tan(x - y) = 1+ x2

A:

Q: ction f(x)=-

A:

Q: Complete

A:

Q: Verify the identity.

A: To verify: The identity . Formula used:

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A: Given; y=xe^x

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A:

Q: sinh(0)

A: sinh(x), cosh(x), tanh(x) are usually referred to as hyperbolic functions becaue they bear…

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A:

Q: ariation of parameters to

A:

Q: sinh (iz) = i sinz sintiz) =isinh z,escia)= cosh: 2. !!

A: In this question, the concept of a trigonometric function is applied, Trigonometric Function The…

Q: Differentiation

A:

Q: etermine the orthogonal trajectories for x? = ky³.

A:

Q: ifferentiate the function: y=(x^4 sin^2(x))^(3)

A:

Q: g(x) = (cosh x)* %3D

A: Given:       To determine: derivative of g(x)

Q: Using Beta function, show that dx 3- (b – x) (x – a) |

A:

Q: tan x + i tanh y 1- i tan x tanh y 18. tan z = tan(x + iy)

A: We have to prove

Q: ) Isinx-sinyls lx-y!

A:

Q: Reflection: Across Line y = -x YA

A: When a point is reflect across line y=-x then x-coordinate and y-coordinate changes places and also…

Q: |tan' x.sec x.dr = tan x +C %3D

A: This question is based on indefinite integral.

Q: La curva 3 de la figura mostrada tiene la siguiente tabla de datos X1 X2 X3 27.7 28 29 30 F(x)4.1…

A: Formula: The Lagrange interpolation polynomial through the points x0, y0, x1, y1, x2, y2, x3, y3 is…

Q: x^2yy'=e^y

A:

Q: 5. sin¹(sinh(sin(xy))) = 5x; y'

A:

Q: Evaluale tim xin xs

A:

Q: Ving model: Y; = Bo + B1Z¢ + B2X¢ + B3Xt-1 + B4Xt-2 + Et %3D as of freedom will vou have for this…

A:

Q: Vx2 +1 – Vx² – 1 y = Vx² +1+ vx² – 1 2.x3 dy = 2x - d.x - - show that Vx4 – 1 -

A: Given: y=x2+1-x2-1x2+1+x2-1      ......(1) To Prove:  dydx=2x-2x3x4-1      ......(2)

Q: 2 tanx cotx – tanx=0

A:

Q: the specifie x = 1- y, x= 0; = 5.

A: In this question we will use basic of calculus i.e application of integration. We will simply use…

Q: sec+2x tan 2x and -dx 11 1 I + 12 tan 2x 16 tan³2x Ⓡ (cor³2x) ( 1+3csc22x 12 Ⓒ/cot²2xcot³21+C 16…

A:

Q: sec 3x tan2 3x dx -sec 3x tan 3x-In/sec 3x + tan 3x +C -infsec 3x+ tan 3r-see 3x tan 3eC Option 1…

A: For this I'm providing hand written solution

Q: 3. y = (- at x= 3 x+1

A:

Q: cotytanxcosydy=(cosy-cosxcotytanx)dx

A: Given the differential equation :

Q: Sinhu.Coshv =1/2 [Sinh (u+ v) + Sinh (u- v)]

A: Sinhu.Coshv =1/2 [Sinh (u+ v) + Sinh (u- v)]

Q: јariable X 3D (1, 2, 4, X), be described a

A: To find: The difference between binomial and geometric random variable.

Q: CNIVERSI Find if f(x,y) = y sin xy 3.

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: sec (0) J de 5-sec2(0)

A:

Q: Differientiate the function y= (x²+6) Inlx'th)

A: Given that: y=(x2+6)ln(x2+6)

Q: sinh (u + v)= sinh u. cosh v+ cosh u. sinh v и.

A: Consider the Identities for hyperbolic functions and expand the given expression.…

Q: Intergral x e^x dx

A: To find the integral (xexdx)

Q: Scoth (2) dx

A:

Q: y = - cot !

A:

Q: Verify that each equation is an identity

A: The given equation is,

Q: What ae the Singularity Functions?

A: A singularity is a point at which a function does not possess a derivative. In other words, a…

Q: hich vect וdtiolו y and 2? 1 -2 y = 1 -6 x = 2 8 -1 2 -1 5 2 -3 [ 2 -1

A:

Q: f(x) = tan (2x5 – x) %3D f'(x) = 9хcosx f(x) = %3D csc(x) f'(x) = %3D f(x) = ex f'(x) = %3D e5x+3 y…

A:

Q: sec20 csc 20 sec (20) = csc 20- sec2e

A: Solution: The objective is to prove that the given identity

Q: tanh(x) = %3D ete

A:

Q: 12. Differentiate the function (use chain rule): y = 2x2 Vx+1'

A: To differentiate the given function

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.